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Finding the Fourth Proportional to 492,827.67, 739,247.37 and 193,449.24

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Solution

The fourth proportional to 492,827.67, 739,247.37 and 193,449.24 is: 290,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,827.67 : 739,247.37 = 193,449.24 : x
  2. Step 2: Convert to fraction form
    492,827.67/739,247.37 = 193,449.24/x
  3. Step 3: Cross multiply
    492,827.67x = 739,247.37 × 193,449.24
  4. Step 4: Simplify right side
    492,827.67x = 143,006,841,898.50
  5. Step 5: Solve for x
    x = 143,006,841,898.50/492,827.67
  6. Step 6: Final answer
    x = 290,176.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.